TECHNICAL PAPERS
Jun 1, 2008

Effects of Adsorbed Water Layer in Predicting Saturated Hydraulic Conductivity for Clays with Kozeny–Carman Equation

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 134, Issue 6

Abstract

Saturated hydraulic conductivity for clays predicted using the conventional Kozeny–Carman equation is scalar and found to diverge significantly from measured values. The divergence is consistent and systematic requiring a mathematical derivation of the formula using first principles. The incorporation of the physical characteristics of the adsorbed water layer surrounding a clay particle results in a generalized Kozeny–Carman equation with two new parameters. The porosity correction factor gives the effective porosity taking into account the thickness of the adsorbed water layer and the mass specific surface area of the clay. The second parameter is shown to depend on the interparticle contact area and the interparticle contact stress. The ability of the proposed physically based generalized Kozeny–Carman equation to explain the results from some of the published laboratory permeability tests is tested. The paper results in a new theoretical framework to model changes in saturated hydraulic conductivity in clays where the soil profile is compacting as a result of changes in pore-water pressure and or externally applied loads.

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Acknowledgments

The writers would like to acknowledge the positive feedback and comments from the anonymous reviewers which contributed significantly to improving the paper.

References

Al-Tabbaa, A., and Wood, D. M. (1987). “Some measurements of the permeability of kaolin.” Geotechnique, 37(4), 499–503.
Antognozzi, M., Humphris, A. D. L., and Miles, M. J. (2001). “Observation of molecular layering in a confined water film and study of the layers viscoelastic properties.” Appl. Phys. Lett., 78(3), 300–302.
Carman, P. C. (1937). “Fluid flow through granular beds.” Trans. Inst. Chem. Eng., 15, 150–166.
Carman, P. C. (1939). “Permeability of saturated sands, soils and clays.” J. Agric. Sci., 29, 263–273.
Carman, P. C. (1956). Flow of gases through porous media, Butterworths, London.
Chapuis, R. P., and Aubertin, M. (2003). “On the use of the Kozeny-Carman equation to predict the hydraulic conductivity of soils.” Can. Geotech. J., 40, 616–628.
Darcy, H. (1856). Les fontaines publiques de la Ville de Dijon, Victor Dalmont, Paris.
Dixon, D. A., Graham, J., and Gray, M. N. (1999). “Hydraulic conductivity of clays in confined tests under low hydraulic gradients.” Can. Geotech. J., 36, 815–825.
Dullien, F. A. L. (1991). Porous media: Fluid transport and pore structure, Academic, New York.
Flint, L. E. (1998). “Characterization of hydrogeologic units using matrix properties.” Rep. No. 97-4243, U.S. Geological Survey Water-Resources Investigations, Yucca Mountain, Nev.
Flint, L. E., and Flint, A. L. (2002). “Porosity.” Methods of soil analysis, Part, 4, SSSA Book Ser. 5, J. H. Dane and G. C. Topp, eds., SSSA, Madison, Wis., 241–254.
Fripiat, J., Cases, J., Francois, M., and Letellier, M. (1982). “Thermodynamic and microdynamic behavior of water in clay suspensions and gels.” J. Colloid Interface Sci., 89, 378–400.
Gee, M. L., McGuiggan, P. M., and Israelachvili, P. M. (1990). “Liquid to solidlike transitions of molecularly thin films under shear.” J. Chem. Phys., 93(3), 1895–1906.
Hansen, D. (2004). “Discussion of On the use of the Kozeny-Carman equation to predict the hydraulic conductivity of soils.” Can. Geotech. J., 41, 990–993.
Hillel, D. (1998). Environmental soil physics, Academic, San Diego.
Holtz, R. D., and Kovacs, W. D. (1981). An introduction to geotechnical engineering, Prentice-Hall, Englewood Cliffs, N.J.
Kozeny, J. (1927). “Ueber kapillare leitung des wassers im boden.” Wien, Akad. Wiss., 136(2a), 271–306.
Lambe, T. W., and Whitman, R. V. (1969). Soil mechanics, Wiley, New York.
Mesri, G., and Olson, R. E. (1971a). “Consolidation characteristics of montmorillonite.” Geotechnique, 21(4), 341–352.
Mesri, G., and Olson, R. E. (1971b). “Mechanism controlling the permeability of clays.” Clays Clay Miner., 19, 151–158.
Mitchell, J. K. (1993). Fundamentals of soil behavior, 2nd Ed., Wiley, New York.
Olsen, H. W. (1962). “Hydraulic flow through saturated clays.” Proc., 9th National Conf. on Clays and Clay Minerals, A. Swineford and P. C. Franks, eds., Pergamomn, New York, 131–161.
Scheidegger, A. E. (1974). The physics of flow through porous media, University of Toronto Press, Toronto.
Singh, P. N., and Wallender, W. W. (2007). “Effective stress from force balance on submerged granular particles.” Int. J. Geomech., 7(3), 186–193.
Whitaker, S. (1992). Introduction to fluid mechanics, Krieger, Malabar, Fla.
Yu, C., Loureiro, C., Cheng, J.-J., Jones, L. G., Wang, Y. Y., Chia, Y. P., and Faillace, E. (1993). Data collection handbook to support modeling the impacts of radioactive material in soil, Vol. ANL/EAIS-8, Argonne National Laboratory, Argonne, Ill.
Zhu, Y., and Granick, S. (2001). “Viscosity of interfacial water.” Phys. Rev. Lett., 87, 096104.

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Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 134Issue 6June 2008
Pages: 829 - 836

History

Received: Jan 30, 2007
Accepted: Oct 10, 2007
Published online: Jun 1, 2008
Published in print: Jun 2008

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Authors

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Purnendu N. Singh
Postdoctoral Scholar, Dept. of Land, Air and Water Resources, Univ. of California, Davis, CA 95616 (corresponding author). E-mail: [email protected]
Wesley W. Wallender, M.ASCE
Professor, Depts. of Land, Air and Water Resources and Biological and Agricultural Engineering, Univ. of California, Davis, CA 95616. E-mail: [email protected]

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